Given:
A rectangular rug in her living room that is 6 feet wide and 8 feet long.
She orders a new one that covers twice as much area.
New rug is 1.5 times as wide as the original rug.
To find:
The length of new rug.
Solution:
We have,
Length of rug = 8 feet
Width of rug = 6 feet
Area of rug is
[tex]Area=length \times width[/tex]
[tex]A_1=8 \times 6[/tex]
[tex]A_1=48\text{ sq. feet}[/tex]
Area of new rug is twice of area of original rug.
[tex]A_2=2\times A_1[/tex]
[tex]A_2=2\times 48[/tex]
[tex]A_2=96\text{ sq. feet}[/tex]
New rug is 1.5 times as wide as the original rug.
Width of new rug = 1.5 × 6 = 9 feet
Let the length of new rug be x feets. So, area of new rug is
[tex]A_2=x\times 9[/tex]
[tex]96=x\times 9[/tex]
Divide both sides by 9.
[tex]\dfrac{96}{9}=x[/tex]
[tex]\dfrac{32}{3}=x[/tex]
[tex]x=\approx 10.67\text{ feet}[/tex]
Therefore, the length of new rug is about 10.67 feet.
Alicia bought two slices of pizza and a bottle of juice for $4.95. The juice was $1.65. How much is one slice of pizza?
Subtract the price of the juice from the total then divide the remaining amount by 2:
4.95 - 1.65 = 3.30
3.30 /2 = 1.65 per slice.
A calculator screen shows a number in scientific notation as 1.16E‒7. Write this number in standard form.
[tex]1.16 \times {10}^{ - 7} = [/tex]
[tex]116 \times {10}^{ - 2} \times {10}^{ - 7} = [/tex]
[tex]116 \times {10}^{ - 9} = [/tex]
[tex]0.000000116[/tex]
_________________________________
Done...
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Can anybody help me please with question 2 please and thank you .I would really appreciate it so much.
Please be more specific
on Monday the price of gas decrease 6 cent on Tuesday in increased 9 cent what was the overall decrease or increase of the price of gas by the of the day on Tuesday
Answer:
The increase would be 3 cents
Step-by-step explanation:
Question in the picture
order of operations 10-7(3+2)7^2
Hello.
To answer this question, follow the order of operations.
10-7(3+2)7²
10-7·5·7²
10-7·5·49
10-35·49
10-1715
-1705
Step-by-step explanation:
Answer:-[tex]\tt{10-7(3+2)7^2}[/tex]
[tex]\tt{10-7(3+2)\times 49}[/tex] ____(as 7² is 49)
[tex]\tt{10-7 \times 5\times 49}[/tex]
As we know, Multiply first,
[tex]\tt{10-7 \times 5\times 49}[/tex]
[tex]\tt{10-1715}[/tex]
[tex]\tt{-1705}[/tex]
Hope it helps :)
f(x)=2x+6 what is the value of f(7)
what is 5m+6=
what does m =
Answer:
m=11
Step-by-step explanation:
Quiz Simplifying expressions
Question 1: 3x + 7 - 5x + 9
Answer:
8x+161
Step-by-step explanation:
Write an inequality
I can work at most 30 hours per week
Answer:
[tex] h \le 30 [/tex]
Step-by-step explanation:
Let h = number of hours of work.
At most 30 hours means 30 hours or less.
[tex] h \le 30 [/tex]
What is the equation of the line in point-slope form?
O y +4 = {(x+4)
O y-4 = 4(x + 4)
Oy-0 = 2(x-4)
Oy -4 = 2(x-0)
Answer: y + 4 = 1/2 (x + 4)
line K bisects HJ if H = (-1,5) and J = (2,-3) find the midpoint
Answer:
I(1/2;1)
Step-by-step explanation:
if the midpoint is I(x;y)
=> [tex]\left \{ {{y=\frac{5-3}{2}=1 } \atop {x=\frac{-1+2}{2}=\frac{1}{2} }} \right.[/tex]
=> I(1/2;1)
a) which is equation of the parabola?
Answer: C
Step-by-step explanation:
X= 1/8(y-1)^2 +4
7.(02.02 LC)
Which of the following numbers can be expressed as a decimal that terminates? (1 point)
7 over 4, 5 over 9, 3 over 8, 2 over 3
Answer:
The answer is 7 over 4, and 3 over 8.
Step-by-step explanation:
When the answer choices are divided the stop and can not be repeated. On the other hand, the other two can.
Answer:
The answer is 7 over 4, and 3 over 8.
Step-by-step explanation:
When the answer choices are divided the stop and can not be repeated. On the other hand, the other two can.
If you don't know the answer, then don't answer!!!
Please answer the question correctly.
I'll mark (Brainiest) for the best answer.
I need it right away.
Answer:
The missing statement is 9x = 61
Step-by-step explanation:
R2. is Addition Property of Equality.
R3. is Distribution Property
R5. is Divisin Property of Equality.
I hope this helps you, I haven't done this for quite some time. Sorry it took me just now to find your question.
Which table best describes a function with exponential decay?
PLEASE HELP!!!!
which statement is equivalent to the inequality | x-3 | > 5
to make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should sarah use? explain
Answer:
She must use the ratio into 5.
Step-by-step explanation:
example- say the ratio is 2:3 so she must use 10:15 .
Find the midpoint of the line segment with the given endpoints (2,4), (1,-3)
Answer:
(7,0)
Step-by-step explanation:
Line AB is parallel to line CD. What is the measure of angle CFE?
A 45°
B. 55°
C. 125°
D. 180°
Answer: c
Step-by-step explanation:
A full circle is 360 degrees so half way would be 180 and since theyre parallel you know that you can use the 55 degrees up top to use in ur equation to find cfe
180-55=125
Can't be 45 because the angle on the other side is smaller than cfe and its 55 degrees and cfe has to be wider than 90 degrees because a right angle is 90 degrees and this angle noticeable goes past 90
Can't be 180 because the whole thing equals 180
) Suppose you are installing a wood floor in a square room. The cost to install the floor is $9 per square foot. The area of the room is given by the function A(x) = x 2 and the cost per square foot is given by the function C(A) = 9A. Which function can be used to find the total cost to install the wood floor? A) A(C(x)) B) C(A(x)) C) x(A(C)) D) x(C(A))
Answer:
The correct option is;
B) C(A(x))
Step-by-step explanation:
The given information are;
The cost to install the floor per square foot = $9
The area of the room is given by the function A(x) = x²
The function for the cost per square foot = C(A) = 9·A
We note that the total cost to install the wood floor = (The cost to install the floor per square foot) × (The area of the room)
∴ The total cost to install the wood floor = $9 × x²
Given that A(x) = x², we have;
The total cost to install the wood floor = $9 × A(x)
Also, given that C(A) = 9·A, we have;
C(A(x)) = 9·A(x)
Therefore;
The total cost to install the wood floor in dollar amount can be given by the function, C(A(x)) = 9·A(x)
Answer:
B if your doing prep
Step-by-step explanation:
math
What is the slope of the line through (-7, -8) and (0, 4)? a 7/12 b 12/7 c -7/12 d -12/7
Answer
B: 12/7
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
I hope this helps
Two-thirds of the T-shirts in a T-shirt shop are blue. Three-fifths of those T-shirts are on sale. One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium? Explain.
Let, total number of T-shirts are x.
Number of blue T-shirts = (2/3)x = 2x/3 .
Number of blue shirts on sale = (3/5)(2x/3) = 2x/5 .
Number of medium sized blue shirts on sale = (1/5)(2x/5) = 2x/25 .
Fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium = [tex]\dfrac{2x/25}{x}[/tex]= 2/25 . ( Number of medium sized blue shirts on sale divided by total number of T-shirts )
Hence, this is the required solution.
PLEASE HELP AND ANSWER QUICKLY DUE SOON!!!!!
consider the function f(x) = 9x^2- 3x + 3
Determine the output produced by the input value x = 3.
Output: F(3) =
There are 16 students in a class and 75% of these students passed their test. What number of these students passed their test?
Answer: 12 students passed their test
Answer:
12 students
Step-by-step explanation:
16 x .75 = 12
The height, h, of a triangle can be found using the formula below when A is the area of
the triangle and b is the length of the base.
h =
2A
b
Solve the formula for Area when the height is 9 inches.
OA= 2.96
O A= 9b - 2
9.2
O A=%
O A = 6
Answer:
A = 9/2bStep-by-step explanation:
Given
h = 2A/bSolving for A when h = 9
A = bh/2A = 9b/2A = 9/2bLast option is correct
The temperature at noon at a ski resort is 3°F. The temperature drops 8°F by midnight.
What is the temperature at midnight?
Answer:
-5
Step-by-step explanation:
8 - 3
HELP pleasee and tysm to whoever does!!
Answer:
22: 6, 23: 1/6 24: 10 25: 50
Step-by-step explanation:
please help quickly !!
Answer:
50
Step-by-step explanation:
Answer:
-3x-12
Step-by-step explanation:
What is reciprocal of the number 5
Answer:
1/5
Step-by-step explanation:
5 = 1/5
6= 1/6
1/6= 6/1 (or just 6)
5/6= 6/5
Do you see the pattern?
Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal.
Answer:
1/5.
Step-by-step explanation:
When referring to a reciprocal, it basically means taking the numerator and the denominator and flipping them.
For example, take 4/5. The reciprocal of 4/5 would be 5/4.
Now, take 5. As a fraction, it would look like 5/1. If you were to flip it, it would be 1/5.
Therefore, the reciprocal of 5 is 1/5.